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2130003120 = 243571267859
BaseRepresentation
bin111111011110101…
…0100010010110000
312111102222100222110
41332331110102300
513330240044440
6551205205320
7103532504430
oct17675242260
95442870873
102130003120
119a3370963
124b5400840
1327c39439b
14162c5a2c0
15c6ee2080
hex7ef544b0

2130003120 has 80 divisors (see below), whose sum is σ = 7546302720. Its totient is φ = 486857472.

The previous prime is 2130003047. The next prime is 2130003137. The reversal of 2130003120 is 213000312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2130003096 and 2130003105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632250 + ... + 635609.

It is an arithmetic number, because the mean of its divisors is an integer number (94328784).

Almost surely, 22130003120 is an apocalyptic number.

2130003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130003120 is an abundant number, since it is smaller than the sum of its proper divisors (5416299600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2130003120 is a wasteful number, since it uses less digits than its factorization.

2130003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267882 (or 1267876 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2130003120 is about 46151.9568382533. The cubic root of 2130003120 is about 1286.6489794461.

Adding to 2130003120 its reverse (213000312), we get a palindrome (2343003432).

The spelling of 2130003120 in words is "two billion, one hundred thirty million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1267859 2535718 3803577 5071436 6339295 7607154 8875013 10142872 12678590 15214308 17750026 19017885 20285744 25357180 26625039 30428616 35500052 38035770 44375065 50714360 53250078 60857232 71000104 76071540 88750130 101428720 106500156 133125195 142000208 152143080 177500260 213000312 266250390 304286160 355000520 426000624 532500780 710001040 1065001560 2130003120